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CN116781174B - FSO transmitting power self-adaptive system based on reciprocity of atmospheric turbulence channel - Google Patents

FSO transmitting power self-adaptive system based on reciprocity of atmospheric turbulence channel Download PDF

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CN116781174B
CN116781174B CN202310899768.6A CN202310899768A CN116781174B CN 116781174 B CN116781174 B CN 116781174B CN 202310899768 A CN202310899768 A CN 202310899768A CN 116781174 B CN116781174 B CN 116781174B
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optical
signal
reciprocity
alice
channel
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CN116781174A (en
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姚海峰
郝群
王伟豪
曹钟予
曹杰
程阳
张韶辉
胡摇
唐鑫
陈梦璐
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Yangtze River Delta Research Institute Of Beijing University Of Technology Jiaxing
Beijing Institute of Technology BIT
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Beijing Institute of Technology BIT
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B10/00Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/50Transmitters
    • H04B10/564Power control
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B10/00Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/80Optical aspects relating to the use of optical transmission for specific applications, not provided for in groups H04B10/03 - H04B10/70, e.g. optical power feeding or optical transmission through water
    • H04B10/806Arrangements for feeding power
    • H04B10/807Optical power feeding, i.e. transmitting power using an optical signal

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  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Optical Communication System (AREA)

Abstract

The invention provides an FSO transmitting power self-adaptive system based on atmosphere turbulence channel reciprocity, which comprises: a first optical terminal Alice and a second optical terminal Bob; the first optical terminal is used for a transmitting end of a communication system, generating a gain adjustable signal and realizing self-adaptive power control of optical power; the second optical terminal is used for a receiving end of the communication system. The invention takes delay time and system noise into consideration, derives a reciprocity evaluation model of Gamma-Gamma continuous time signals by utilizing a Yule-Worker equation in an ARMA random process, and provides a power self-adaptive control algorithm based on reciprocity, thereby effectively relieving receiving end light intensity flicker and communication error rate deterioration caused by atmospheric turbulence.

Description

基于大气湍流信道互易性的FSO发射功率自适应系统FSO Transmit Power Adaptive System Based on Reciprocity of Atmospheric Turbulence Channel

技术领域Technical Field

本发明属于激光通信技术领域,尤其涉及基于大气湍流信道互易性的FSO发射功率自适应系统。The invention belongs to the technical field of laser communication, and in particular relates to an FSO transmission power adaptive system based on atmospheric turbulence channel reciprocity.

背景技术Background Art

随着智能交互的网络兴起,光纤技术正在以每秒数十兆比特(Tbps)的总容量管理大部分地面接入和骨干网络。针对偏远地区光纤网络铺设成本高等问题,可采用空间激光通信(FSOC)技术,通过卫星和高空平台可以弥补这一差距,特别是向人口稀少的地区提供回程服务覆盖。然而大气湍流的扰动严重破坏传播光束的波前,限制了FSOC技术的发展,需要新的方法抑制湍流扰动造成的误码率升高。With the rise of intelligent interactive networks, fiber optic technology is managing most of the ground access and backbone networks with a total capacity of tens of terabits per second (Tbps). In order to solve the high cost of laying fiber optic networks in remote areas, space laser communication (FSOC) technology can be used to fill this gap through satellites and high-altitude platforms, especially to provide backhaul service coverage to sparsely populated areas. However, the disturbance of atmospheric turbulence seriously destroys the wavefront of the propagating beam, which limits the development of FSOC technology. New methods are needed to suppress the increase in bit error rate caused by turbulent disturbances.

对于接收端自适应处理系统,通常需要在接收端采用大量的训练序列获得信道状态信息(CSI),从而进行信号补偿处理,这些操作需要在湍流扰动的相干时间内完成。由于训练序列的存在无法做到实时处理,造成系统硬件开销大、延时高,严重制约了激光通信实时、高速性能。例如A.V.Kudryashov等人设计的AO系统需要在接收端获得光斑的详细的波前信息再反馈调节可形变反射镜,控制系统复杂。For the adaptive processing system at the receiving end, it is usually necessary to use a large number of training sequences at the receiving end to obtain channel state information (CSI) for signal compensation processing. These operations need to be completed within the coherence time of turbulent disturbances. Due to the existence of training sequences, real-time processing cannot be achieved, resulting in high system hardware overhead and high latency, which seriously restricts the real-time and high-speed performance of laser communication. For example, the AO system designed by A.V.Kudryashov et al. needs to obtain detailed wavefront information of the light spot at the receiving end and then feedback to adjust the deformable reflector, and the control system is complex.

利用大气湍流信道的互异性获取CSI可以很好的改善这个问题。然而,有研究表明FSOC不是绝对互易,互易性的保持条件严格。在实际过程中,我们无法完美使得FSOC的系统互易性保持在1,类似无线电信道大多数处在互易性失配状态,使得我们利用互易性进行发射端光功率自适应控制无法达到最佳性能。因此,进一步研究和分析大气湍流系统的互易性与FSO发射功率自适应系统工作原理和性能关系是很有必要的。Using the reciprocity of the atmospheric turbulence channel to obtain CSI can greatly improve this problem. However, studies have shown that FSOC is not absolutely reciprocal, and the conditions for maintaining reciprocity are strict. In practice, we cannot perfectly keep the system reciprocity of FSOC at 1. Most radio channels are in a reciprocity mismatch state, which makes it impossible for us to achieve the best performance by using reciprocity for adaptive control of the transmitting optical power. Therefore, it is necessary to further study and analyze the relationship between the reciprocity of the atmospheric turbulence system and the working principle and performance of the FSO transmit power adaptive system.

发明内容Summary of the invention

为解决上述技术问题,本发明提出基于大气湍流信道互易性的FSO发射功率自适应系统,使得通信信号的光强闪烁得到很好地抑制,信噪比大幅度提升,强湍流下抑制更加明显,闪烁抑制-3.5dB。In order to solve the above technical problems, the present invention proposes an FSO transmission power adaptive system based on the reciprocity of atmospheric turbulence channels, so that the light intensity flicker of the communication signal can be well suppressed, the signal-to-noise ratio is greatly improved, the suppression is more obvious under strong turbulence, and the flicker suppression is -3.5dB.

为实现上述目的本发明提出了基于大气湍流信道互易性的FSO发射功率自适应系统,包括:第一光学终端Alice和第二光学终端Bob;To achieve the above object, the present invention proposes an FSO transmission power adaptation system based on atmospheric turbulence channel reciprocity, comprising: a first optical terminal Alice and a second optical terminal Bob;

所述第一光学终端,用于通信系统的发射端,生成增益可调信号,实现光功率自适应功率控制;The first optical terminal is used at the transmitting end of the communication system to generate a gain-adjustable signal to achieve adaptive power control of optical power;

所述第二光学终端,用于通信系统的接收端。The second optical terminal is used at the receiving end of the communication system.

可选地,所述第一光学终端和第二光学终端的结构相同;Optionally, the first optical terminal and the second optical terminal have the same structure;

所述第一光学终端和第二光学终端均包括:依次连接的光学天线、密集波分复用系统DWDM、探测单元、自动增益反馈调节单元和发射单元;The first optical terminal and the second optical terminal both include: an optical antenna, a dense wavelength division multiplexing system DWDM, a detection unit, an automatic gain feedback adjustment unit and a transmitting unit connected in sequence;

所述光学天线,用于发射和接收空间光通信信号;The optical antenna is used to transmit and receive spatial optical communication signals;

所述密集波分复用系统,用于对波长为λ14的光波进行复用;The dense wavelength division multiplexing system is used to multiplex light waves with wavelengths of λ 14 ;

所述发射单元,用于发射波长为λ14的光波;The transmitting unit is used to transmit light waves with wavelengths of λ 14 ;

所述自动增益反馈调节单元,用于自动调节发射光功率以抑制湍流影响;The automatic gain feedback adjustment unit is used to automatically adjust the transmitted optical power to suppress the influence of turbulence;

所述探测单元,用于将波长为λ14的光波转换为电信号。The detection unit is used to convert light waves with wavelengths of λ 14 into electrical signals.

可选地,所述发射单元包括:激光器、任意波形发生器、微波信号放大器、铌酸锂调制器和掺铒光纤放大器;激光器与铌酸锂调制器的光输入端相连;任意波形发生器、微波信号放大器、铌酸锂调制器和掺铒光纤放大器依次连接,所述微波信号放大器还连接至铌酸锂调制器的电信号输入端;Optionally, the transmitting unit includes: a laser, an arbitrary waveform generator, a microwave signal amplifier, a lithium niobate modulator and an erbium-doped fiber amplifier; the laser is connected to the optical input end of the lithium niobate modulator; the arbitrary waveform generator, the microwave signal amplifier, the lithium niobate modulator and the erbium-doped fiber amplifier are connected in sequence, and the microwave signal amplifier is also connected to the electrical signal input end of the lithium niobate modulator;

所述激光器,用于产生λ14的光波;The laser is used to generate light waves of λ 14 ;

所述任意波形发生器,用于经过升降余弦滤波器产生连续基带信号;The arbitrary waveform generator is used to generate a continuous baseband signal through a raised cosine filter;

所述微波信号放大器,用于将基带信号进行放大;The microwave signal amplifier is used to amplify the baseband signal;

所述铌酸锂调制器,用于将放大后的基带信号,加载到所述光波上生成连续光基带信号,输出调制后的通信光信号;The lithium niobate modulator is used to load the amplified baseband signal onto the optical wave to generate a continuous optical baseband signal and output a modulated communication optical signal;

所述掺铒光纤放大器,用于将所述通信光信号进行放大。The erbium-doped fiber amplifier is used to amplify the communication optical signal.

可选地,所述自动增益反馈调节单元包括:衰减器和FPGA;Optionally, the automatic gain feedback adjustment unit includes: an attenuator and an FPGA;

所述衰减器,用于接收放大后的所述通信光信号,并对所述通信光信号进行衰减,生成发射光信号;The attenuator is used to receive the amplified communication optical signal and attenuate the communication optical signal to generate a transmission optical signal;

所述FPGA,用于控制所述衰减器的衰减大小。The FPGA is used to control the attenuation size of the attenuator.

可选地,所述探测单元包括:密集波分复用系统DWDM、高速探测器、低速探测器和数字存储示波器;其中,密集波分复用系统λ2波长输出,高速探测器与数字存储示波器依次连接;密集波分复用系统λ4波长输出,低速探测器与FPGA依次连接。Optionally, the detection unit includes: a dense wavelength division multiplexing system DWDM, a high-speed detector, a low-speed detector and a digital storage oscilloscope; wherein, the dense wavelength division multiplexing system has a λ 2 wavelength output, and the high-speed detector is connected to the digital storage oscilloscope in sequence; the dense wavelength division multiplexing system has a λ 4 wavelength output, and the low-speed detector is connected to the FPGA in sequence.

所述密集波分复用系统,用于对波长为λ2,λ4的光波进行复用;The dense wavelength division multiplexing system is used to multiplex light waves with wavelengths of λ 2 and λ 4 ;

所述高速探测器,用于检测高速通信光信号,并转换为电信号输出;The high-speed detector is used to detect high-speed communication optical signals and convert them into electrical signals for output;

所述低速探测器,用于检测湍流信号的衰落特征,并在所述FPGA处理获得;The low-speed detector is used to detect the fading characteristics of the turbulence signal and obtain it by processing in the FPGA;

所述数字存储示波器,用于存储采集结果。The digital storage oscilloscope is used to store the acquisition results.

可选地,所述第一光学终端和第二光学终端的发射功率自适应过程为:Optionally, the transmission power adaptation process of the first optical terminal and the second optical terminal is:

其中, 为卷积过程,gA(t)为匹配滤波器,ρA为Alice端EDFA放大的指数,nA(t)为Alice端的加性白噪声,为FPGA产生增益可调信号,为发射光信号,为互易性特征信息提取光信号。in, is the convolution process, g A (t) is the matched filter, ρ A is the exponential of EDFA amplification at Alice’s end, n A (t) is the additive white noise at Alice’s end, Generates gain-adjustable signals for FPGA, To transmit optical signals, Extracting optical signals for reciprocity feature information.

可选地,所述FPGA产生增益可调信号包括:Optionally, the FPGA generates a gain adjustable signal include:

低速探测器检测Bob→Alice经过湍流信道产生抖动光波信号 信号被探测器接收并采样,获取功率谱函数 The low-speed detector detects the jitter light wave signal generated by Bob→Alice passing through the turbulent channel The signal is received and sampled by the detector to obtain the power spectrum function

所述功率谱函数如下式(3)所示:The power spectrum function As shown in the following formula (3):

式中:信号的自协方差函数ACF数字信号形式;Where: The signal's autocovariance function ACF digital signal form;

ai为大气湍流信道的传输函数的滤波器的系数; a i is the coefficient of the filter of the transfer function of the atmospheric turbulence channel;

对功率谱函数进行求解,获取具有时间相关性的序列;{I1,I2,…In}=I,如式(4)-式(6)所示:Power spectrum function Solve to obtain a sequence with time correlation; {I 1 ,I 2 ,…In}=I, as shown in equations (4) to (6):

σ2 nH(ω)=In (6)σ 2 n H(ω)=I n (6)

式中: Where:

将Gamma-Gamma(G-G)作为湍流信道的概率密度函数PDF,将概率密度函数PDF的参数α和β和湍流参数关联起来,其形式如下所示:Gamma-Gamma (GG) is used as the probability density function PDF of the turbulent channel, and the parameters α and β of the probability density function PDF and the turbulence parameters When linked together, the form is as follows:

式中:表示信号的第n次矩,Γ(·)为Gamma函数;Where: express The nth moment of the signal, Γ(·) is the Gamma function;

令归一化随机光强序列服从Gamma-Gamma PDF,并使得按照I秩序重新排列后得到并且满足:Let the normalized random light intensity sequence Obey Gamma-Gamma PDF, and make After rearranging in order of I, we get And meet:

上式说明生成等于理论解式的数值解Rψ(m),并且不丢失PDF信息;同样的根据式(3)-式(10)思路求得信号的数字序列信号 The above formula generates of is equal to the numerical solution R ψ (m) of the theoretical solution, and does not lose PDF information; similarly, according to equations (3) to (10), we can obtain Digital sequence signal

利用互易性可以实时获取Alice→Bob光束传播过程历经的信道状态信息,即存在:Reciprocity can be used to obtain the channel state information of the Alice→Bob beam propagation process in real time, that is, there is:

ηAB=1 (11)η AB =1 (11)

其中,ηAB为信道的互易性值,分别为Alice端和Bob端的互易性特征信息提取光信号,为增益可调信号。Where η AB is the reciprocity value of the channel, Extract optical signals for the reciprocity feature information of Alice and Bob respectively, The gain is adjustable.

与现有技术相比,本发明具有如下优点和技术效果:Compared with the prior art, the present invention has the following advantages and technical effects:

本发明考虑到了延迟时间和系统噪声,利用ARMA随机过程中的Yule-Worker方程推导了Gamma-Gamma连续时间信号的互易性评价模型,并提出了基于互易性的功率自适应控制算法,有效缓解了大气湍流造成的接收端光强闪烁和通信误码率恶化。The present invention takes into account the delay time and system noise, derives the reciprocity evaluation model of the Gamma-Gamma continuous-time signal by using the Yule-Worker equation in the ARMA random process, and proposes a power adaptive control algorithm based on reciprocity, which effectively alleviates the light intensity flicker at the receiving end and the deterioration of the communication bit error rate caused by atmospheric turbulence.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

构成本申请的一部分的附图用来提供对本申请的进一步理解,本申请的示意性实施例及其说明用于解释本申请,并不构成对本申请的不当限定。在附图中:The drawings constituting a part of the present application are used to provide a further understanding of the present application. The illustrative embodiments and descriptions of the present application are used to explain the present application and do not constitute an improper limitation on the present application. In the drawings:

图1为本发明实施例的一种基于大气湍流信道互易性的FSO发射功率自适应系统框图;其中,(a)为第一光学终端Alice,(b)为大气湍流信道,(c)为第二光学终端Bob;FIG1 is a block diagram of an FSO transmission power adaptation system based on atmospheric turbulence channel reciprocity according to an embodiment of the present invention; wherein (a) is a first optical terminal Alice, (b) is an atmospheric turbulence channel, and (c) is a second optical terminal Bob;

图2为本发明实施例在不同湍流程度下Alice和Bob互易光信号序列自动增益校准前和后的PDF对比图;其中,(a)为强湍流下的结果,(b)为中湍流下的结果,(c)为弱湍流下的结果;FIG2 is a PDF comparison diagram of Alice and Bob reciprocal optical signal sequences before and after automatic gain calibration under different turbulence levels according to an embodiment of the present invention; wherein (a) is the result under strong turbulence, (b) is the result under medium turbulence, and (c) is the result under weak turbulence;

图3为本发明实施例在不同信噪比下Alice和Bob互易光信号序列自动增益校准前和后的BER对比图;其中,(a)为强湍流下的结果,(b)为中湍流下的结果,(c)为弱湍流下的结果;FIG3 is a BER comparison diagram of Alice and Bob reciprocal optical signal sequences before and after automatic gain calibration under different signal-to-noise ratios according to an embodiment of the present invention; wherein (a) is the result under strong turbulence, (b) is the result under medium turbulence, and (c) is the result under weak turbulence;

图4为本发明实施例在不同采样延时下Alice和Bob互易光信号序列自动增益校准前和后的BER对比图。FIG4 is a BER comparison diagram of Alice and Bob reciprocal optical signal sequences before and after automatic gain calibration at different sampling delays according to an embodiment of the present invention.

具体实施方式DETAILED DESCRIPTION

需要说明的是,在不冲突的情况下,本申请中的实施例及实施例中的特征可以相互组合。下面将参考附图并结合实施例来详细说明本申请。It should be noted that, in the absence of conflict, the embodiments and features in the embodiments of the present application can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.

需要说明的是,在附图的流程图示出的步骤可以在诸如一组计算机可执行指令的计算机系统中执行,并且,虽然在流程图中示出了逻辑顺序,但是在某些情况下,可以以不同于此处的顺序执行所示出或描述的步骤。It should be noted that the steps shown in the flowcharts of the accompanying drawings can be executed in a computer system such as a set of computer executable instructions, and that, although a logical order is shown in the flowcharts, in some cases, the steps shown or described can be executed in an order different from that shown here.

如图1所示,本实施例提出了基于大气湍流信道互易性的FSO发射功率自适应系统,该系统包括两个光学终端,第一光学终端和第二光学终端,记为Alice和Bob。其中,图1的(a)为第一光学终端Alice,图1的(b)为大气湍流信道,图1的(c)为第二光学终端Bob。As shown in Fig. 1, this embodiment proposes an FSO transmission power adaptation system based on atmospheric turbulence channel reciprocity, which includes two optical terminals, a first optical terminal and a second optical terminal, denoted as Alice and Bob. Fig. 1 (a) is the first optical terminal Alice, Fig. 1 (b) is the atmospheric turbulence channel, and Fig. 1 (c) is the second optical terminal Bob.

光学终端由光学天线、密集波分复用系统DWDM、发射单元和自动增益反馈调节单元、探测单元构成。发射单元包括激光器LD1,任意波形发生器(AWG)、微波信号放大器(MPA)、铌酸锂调制器(LNM)、掺铒光纤放大器(EDFA)。自动增益反馈调节单元包括电动可调的光衰减器(EVOA)、FPGA。探测单元包括光纤分光器(FOS)、高速探测器、低速探测器、数字存储示波器(DSO)。The optical terminal consists of an optical antenna, a dense wavelength division multiplexing system DWDM, a transmitting unit, an automatic gain feedback adjustment unit, and a detection unit. The transmitting unit includes a laser LD1, an arbitrary waveform generator (AWG), a microwave signal amplifier (MPA), a lithium niobate modulator (LNM), and an erbium-doped fiber amplifier (EDFA). The automatic gain feedback adjustment unit includes an electrically adjustable optical attenuator (EVOA) and an FPGA. The detection unit includes a fiber splitter (FOS), a high-speed detector, a low-speed detector, and a digital storage oscilloscope (DSO).

光学终端Alice和Bob具有同样的结构,其发射功率自适应控制方法相同。The optical terminals Alice and Bob have the same structure and the same transmission power adaptive control method.

示例的,Alice端的发送光波的产生包括如下步骤:For example, Alice's transmitted light wave The generation of includes the following steps:

步骤1,Alice端激光器LD1产生波长为λ1的光波;Step 1, laser LD1 at Alice's end generates a light wave with a wavelength of λ 1 ;

步骤2,任意波形发生器经过升降余弦滤波器产生连续基带信号sA-M(t),并经由微波放大器放大;Step 2, the arbitrary waveform generator generates a continuous baseband signal s AM (t) through a raised cosine filter and amplifies it through a microwave amplifier;

步骤3,铌酸锂调制器将调制信号加载到上述光波λ1上生成连续光基带信号 Step 3: The lithium niobate modulator loads the modulation signal onto the above-mentioned light wave λ 1 to generate a continuous optical baseband signal.

步骤4,所述光基带信号经过EDFA后注入到电控光衰减器EVOA,生成发射光信号 Step 4: The optical baseband signal is injected into the electrically controlled optical attenuator EVOA after passing through the EDFA to generate a transmitted optical signal.

该过程可利用以下数学物理方程来表达:This process can be expressed using the following mathematical physics equation:

式中: 为卷积过程,gA(t)为匹配滤波器,ρA为Alice端EDFA放大的指数,nA(t)为Alice端的加性白噪声,为FPGA产生增益可调信号,为发射光信号,为互易性特征信息提取光信号。Where: is the convolution process, g A (t) is the matched filter, ρ A is the exponential of EDFA amplification at Alice’s end, n A (t) is the additive white noise at Alice’s end, Generates gain-adjustable signals for FPGA, To transmit optical signals, Extracting optical signals for reciprocity feature information.

是个增益时变连续反馈信号,在实际工程中具有低时延性。在本系统中可由低速光电探测器检测湍流信号的衰落特征,并在FPGA处理获得。 It is a gain-varying continuous feedback signal with low latency in practical engineering. In this system, the turbulence signal can be detected by a low-speed photoelectric detector. The fading characteristics are obtained by FPGA processing.

EVOA可由FPGA精确控制衰减大小,其自动增益因子获取方式如下:EVOA can accurately control the attenuation size by FPGA, and its automatic gain factor The acquisition method is as follows:

首先,低速探测器(Low-speed PD)检测Bob→Alice经过湍流信道而产生的抖动光波信号信号的被探测器接收并采样后数字序列集合形式其功率谱函数如下所示:First, the low-speed detector (PD) detects the jittered light wave signal generated by Bob→Alice passing through the turbulent channel. The signal is received and sampled by the detector in the form of a digital sequence set Its power spectrum function As shown below:

式中:信号的自协方差函数ACF数字信号形式,Where: for The signal's autocovariance function ACF is in digital signal form.

ai为大气湍流信道的传输函数的滤波器的系数。 a i is the coefficient of the filter of the transfer function of the atmospheric turbulence channel.

利用自回归滑动平均过程可对式(3)进行求解,因此存在:The autoregressive moving average process can be used to solve equation (3), so there is:

利用Yule-Walker方程的阶递推解法对式(4)和式(5)进行求解可以得到的具有时间相关性的序列{I1,I2,…In}=I,如式(6)-式(8)所示:By using the recursive method of the Yule-Walker equation to solve equations (4) and (5), we can obtain the time-correlated sequence {I 1 ,I 2 ,…I n }=I, as shown in equations (6) to (8):

σ2 nH(ω)=In (8)σ 2 n H(ω)=I n (8)

式中:将Gamma-Gamma(G-G)作为湍流信道的概率密度函数PDF,该函数的参数α和β能和湍流参数关联起来,其形式如下所示:Where: Gamma-Gamma (GG) is used as the probability density function PDF of the turbulent channel. The parameters α and β of this function can be related to the turbulence parameters When linked together, the form is as follows:

式中:表示信号的第n次矩,Γ(·)为Gamma函数。Where: express The nth moment of the signal, Γ(·) is the Gamma function.

进一步地,令归一化随机光强序列服从Gamma-Gamma PDF,并使得按照I秩序重新排列后得到并且满足:Furthermore, let the normalized random light intensity sequence Obey Gamma-Gamma PDF, and make After rearranging in order of I, we get And meet:

此时生成等于理论解式的数值解Rψ(m),并且不丢失PDF信息。同样的,根据式(3)-式(12),可求得信号的数字序列信号 Generate at this time of is equal to the numerical solution R ψ (m) of the theoretical solution, and does not lose PDF information. Similarly, according to equations (3) to (12), we can obtain Digital sequence signal

为校准Bob端的信号经过大气湍流信道而引起的抖动,理论上存在:To calibrate the signal at Bob's end Theoretically, the jitter caused by passing through the atmospheric turbulence channel exists:

利用互易性可以实时获取Alice→Bob光束传播过程历经的信道状态信息,即存在:Reciprocity can be used to obtain the channel state information of the Alice→Bob beam propagation process in real time, that is, there is:

ηAB=1 (14)η AB =1 (14)

因此,根据信号可以在FPGA中运算获得自动增益因子,进而利用互异性精确控制EVOA调制衰减大小。Therefore, according to the signal Can be calculated in FPGA Automatic gain factor, thereby using reciprocity to accurately control the EVOA modulation attenuation.

因此,可以通过采集Bob→Alice的光波信号利用互易性实时获取Alice→Bob的信道状态,进而求得自动增益因子,完成如式(1)发射功率的自动增益调节,从而抑制湍流扰动造成的信号闪烁,降低BER。Therefore, we can collect the light wave signal from Bob to Alice. Using reciprocity, we can obtain the channel state from Alice to Bob in real time, and then obtain The automatic gain factor completes the automatic gain adjustment of the transmit power as shown in formula (1), thereby suppressing the signal flicker caused by turbulent disturbance and reducing the BER.

为保持光波的衰落特性一致,所述光波长λ14为C波段中相邻的4个波长。In order to keep the attenuation characteristics of the light waves consistent, the light wavelengths λ 14 are four adjacent wavelengths in the C band.

示例的,对于所述的基于互易性的功率自适应控制方法,将连续QAM-16和QAM-32真实状态的时域信号与Gamma-Gamma互易湍流连续信号模型相融合,分析了功率自适应控制矫正后的PDF和BER性能。For example, for the reciprocity-based power adaptive control method, the time domain signals of the real states of continuous QAM-16 and QAM-32 are integrated with the Gamma-Gamma reciprocal turbulence continuous signal model, and the PDF and BER performance after power adaptive control correction are analyzed.

对于高速信号而言,误码率是对接收信号进行阈值判决,长时间累加统计获得。因此在等效信噪比下,可以以等效低速信号作为实验样本分析。考虑到湍流扰动的频率为小于100Hz级别,为了更容易捕捉误码率并增加误码率分辨率,对1秒中内Alice→Bob所传输的信息进行误码统计计算,样本个数取1000,连续信号1秒内的码元个数被设置成1.0×106bit,上采样的频率设置成码元速率的4倍,升降余弦滤波器滚动系数设为0.025,接收光信号被均值归一化I/<I>。For high-speed signals, the bit error rate is obtained by threshold judgment of the received signal and long-term accumulation statistics. Therefore, under the equivalent signal-to-noise ratio, the equivalent low-speed signal can be used as the experimental sample for analysis. Considering that the frequency of turbulent disturbance is less than 100Hz, in order to more easily capture the bit error rate and increase the bit error rate resolution, the bit error statistics of the information transmitted from Alice to Bob in 1 second are calculated. The number of samples is 1000, the number of code elements in the continuous signal in 1 second is set to 1.0×10 6 bits, the upsampling frequency is set to 4 times the code element rate, the rolling coefficient of the raised cosine filter is set to 0.025, and the received optical signal is mean-normalized to I/<I>.

如图2所示,其中,图2的(a)为强湍流下的结果,图2的(b)为中湍流下的结果,图2的(c)为弱湍流下的结果;在SNR=25dB情况下,Alice→Bob信号在不同湍流程度下的PDF和星座图。随着湍流程度的增加,未经矫正的接收光信号的PDF峰值向Y轴靠近,而经过自动增益矫正的信号的PDF峰峰值随着湍流程度的减少,更趋向偏向“1”,说明被矫正的包络信号理论上应该是一条稳定功率的直线,没有光强闪烁。As shown in Figure 2, (a) of Figure 2 is the result under strong turbulence, (b) of Figure 2 is the result under medium turbulence, and (c) of Figure 2 is the result under weak turbulence; when SNR = 25dB, the PDF and constellation diagram of the Alice→Bob signal under different turbulence levels. As the turbulence level increases, the uncorrected received optical signal The PDF peak of The peak-to-peak value of the PDF of the signal tends to be closer to "1" as the turbulence level decreases, indicating that the corrected The envelope signal should theoretically be a straight line with stable power and no flickering of light intensity.

另外,如星座图所示,利用自动增益矫正后,误码恶化情况有极大地改善。In addition, as shown in the constellation diagram, using After automatic gain correction, the error degradation is greatly improved.

如图3所示,其中,图3的(a)为强湍流下的结果,图3的(b)为中湍流下的结果,图3的(c)为弱湍流下的结果;利用自动增益矫正后,BER恶化程度有了极大地减缓,湍流越强,矫正效果越为明显。可以看出,QAM-32信号所有BER曲线总体向右偏离,说明在同等条件下的,QAM-16的误码率比QAM-32时优越。As shown in FIG3 , FIG3 (a) is the result under strong turbulence, FIG3 (b) is the result under medium turbulence, and FIG3 (c) is the result under weak turbulence. After automatic gain correction, the BER degradation has been greatly reduced. The stronger the turbulence, the more obvious the correction effect. It can be seen that all BER curves of QAM-32 signals deviate to the right, indicating that under the same conditions, the bit error rate of QAM-16 is superior to that of QAM-32.

如图4所示,在SNR=50dB情况下,当系统BER低于FEC的3.8×10-3时,这要求强湍流τd≤0.186ms、中湍流τd≤1.129ms、和弱湍流τd≤9.028ms,从图4所示的BER曲线的走势来看,这也正好满足目前5G和6G系统要求系统延时控制ms级别要求。As shown in Figure 4, when SNR = 50dB, the system BER is lower than 3.8× 10-3 of FEC, which requires strong turbulence. τ d ≤0.186ms, medium turbulence τ d ≤1.129ms, and weak turbulence τ d ≤9.028ms. From the trend of the BER curve shown in Figure 4, this just meets the current 5G and 6G system requirements for system delay control at the ms level.

应注意,本申请实施例中的处理器不限于FPGA,可以是一种集成电路芯片,具有信号处理能力。在实现过程中,上述方法实施例的各步骤可以通过处理器中的硬件的集成逻辑电路或者软件形式的指令完成。上述的处理器可以是通用处理器、数字信号处理器(DSP)、专用集成电路(ASIC)、现场可编程门阵列(FPGA)或者其他可编程逻辑器件、分立门或者晶体管逻辑器件、分立硬件组件。可以实现或者执行本申请实施例中的公开的各方法、步骤及逻辑框图。通用处理器可以是微处理器或者该处理器也可以是任何常规的处理器等。结合本申请实施例所公开的方法的步骤可以直接体现为硬件译码处理器执行完成,或者用译码处理器中的硬件及软件模块组合执行完成。软件模块可以位于随机存储器,闪存、只读存储器,可编程只读存储器或者电可擦写可编程存储器、寄存器等本领域成熟的存储介质中。该存储介质位于存储器,处理器读取存储器中的信息,结合其硬件完成上述方法的步骤。It should be noted that the processor in the embodiment of the present application is not limited to FPGA, and can be an integrated circuit chip with signal processing capabilities. In the implementation process, each step of the above method embodiment can be completed by an integrated logic circuit of hardware in the processor or an instruction in the form of software. The above processor can be a general-purpose processor, a digital signal processor (DSP), an application-specific integrated circuit (ASIC), a field programmable gate array (FPGA) or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components. The methods, steps and logic block diagrams disclosed in the embodiments of the present application can be implemented or executed. The general-purpose processor can be a microprocessor or the processor can also be any conventional processor, etc. The steps of the method disclosed in the embodiment of the present application can be directly embodied as a hardware decoding processor to perform, or the hardware and software modules in the decoding processor can be combined and performed. The software module can be located in a mature storage medium in the field such as a random access memory, a flash memory, a read-only memory, a programmable read-only memory or an electrically erasable programmable memory, a register, etc. The storage medium is located in a memory, and the processor reads the information in the memory and completes the steps of the above method in combination with its hardware.

本发明考虑到了延迟时间和系统噪声,利用ARMA随机过程中的Yule-Worker方程推导了Gamma-Gamma连续时间信号的互易性评价模型,并提出了基于互易性的功率自适应控制算法,有效缓解了大气湍流造成的接收端光强闪烁和通信误码率恶化。The present invention takes into account the delay time and system noise, derives the reciprocity evaluation model of the Gamma-Gamma continuous-time signal by using the Yule-Worker equation in the ARMA random process, and proposes a power adaptive control algorithm based on reciprocity, which effectively alleviates the light intensity flicker at the receiving end and the deterioration of the communication bit error rate caused by atmospheric turbulence.

以上,仅为本申请较佳的具体实施方式,但本申请的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本申请揭露的技术范围内,可轻易想到的变化或替换,都应涵盖在本申请的保护范围之内。因此,本申请的保护范围应该以权利要求的保护范围为准。The above are only preferred specific implementations of the present application, but the protection scope of the present application is not limited thereto. Any changes or substitutions that can be easily thought of by any technician familiar with the technical field within the technical scope disclosed in the present application should be included in the protection scope of the present application. Therefore, the protection scope of the present application should be based on the protection scope of the claims.

Claims (5)

1. An FSO transmit power adaptive system based on atmospheric turbulence channel reciprocity, comprising: a first optical terminal Alice and a second optical terminal Bob;
The first optical terminal is used for a transmitting end of a communication system, generating a gain adjustable signal and realizing self-adaptive power control of optical power;
the second optical terminal is used for a receiving end of the communication system;
the self-adaptive process of the transmitting power of the first optical terminal and the second optical terminal is as follows:
wherein, For the convolution process, g A (t) is a matched filter, ρ A is an index of Alice end EDFA amplification, n A (t) is Alice end additive white noise,A gain-adjustable signal is generated for the FPGA,In order to emit an optical signal,Extracting an optical signal for the reciprocity characteristic information;
the FPGA generates a gain adjustable signal Comprising the following steps:
the low-speed detector detects reciprocity characteristic information of Alice end, which is generated by jitter generated by Bob- & gt Alice through turbulent flow channel, and extracts optical signals Reciprocity characteristic information extraction optical signalIs received and sampled by a detector to obtain a power spectrum function
The power spectrum functionThe following formula (3):
Wherein: Extracting optical signals for reciprocity feature information An auto-covariance function ACF digital signal form;
a i is the constitution coefficient of the filter of the transfer function of the atmospheric turbulence channel;
For power spectrum functions Solving to obtain a sequence with time correlation; { I 1,I2,…In } = I, as shown in formula (6) -formula (8):
σ2 nθn=In(6)
σ2 nH(ω)=In(8)
Wherein:
Gamma-Gamma (G-G) is used as a probability density function PDF of a turbulence channel, and parameters alpha and beta of the probability density function PDF and a turbulence parameter C n 2 are associated, wherein the form is as follows:
Wherein: extracting optical signals representing reciprocity characteristic information Is selected from the group consisting of the nth moment, Γ (·) is a Gamma function;
let normalized random light intensity sequence Obeying the Gamma-Gamma PDF and makingIs rearranged according to order I to obtainAnd satisfies the following:
description generation above A kind of electronic deviceA numerical solution R ψ (m) equal to the theoretical solution, and no PDF information is lost; similarly, the reciprocity characteristic information of the Bob end is obtained according to the ideas of the formulas (3) and (6) -12 to extract the digital sequence signal of the optical signal
The reciprocity is utilized to acquire the channel state information of Alice- & gt Bob light beam propagation process in real time, namely the channel state information exists:
ηAB=1 (14)
where η AB is the reciprocity value of the channel, Extracting optical signals for the reciprocity characteristic information of the Alice end and the Bob end respectively,Is a gain adjustable signal;
And further extracting the optical signal by collecting the reciprocity characteristic information of Bob-Alice Acquiring channel states of Alice- & gtBob in real time by utilizing reciprocity, and further obtainingAnd (3) an automatic gain factor, and completing automatic gain adjustment of the transmitting power as shown in the formula (1).
2. The FSO transmit power adaptation system based on atmospheric turbulence channel reciprocity according to claim 1, wherein the first and second optical terminals are identical in structure;
the first optical terminal and the second optical terminal each include: the system comprises an optical antenna, a dense wavelength division multiplexing system DWDM, a detection unit, an automatic gain feedback adjusting unit and a transmitting unit which are connected in sequence;
the optical antenna is used for transmitting and receiving space optical communication signals;
the dense wavelength division multiplexing system is used for multiplexing the light waves with the wavelength lambda 14;
the emitting unit is used for emitting light waves with the wavelength of lambda 14;
the automatic gain feedback adjusting unit is used for automatically adjusting the emitted light power to inhibit turbulence influence;
the detection unit is used for converting the light wave with the wavelength lambda 14 into an electric signal.
3. The FSO transmit power adaptation system based on atmospheric turbulence channel reciprocity according to claim 2, wherein the transmit unit comprises: the device comprises a laser, an arbitrary waveform generator, a microwave signal amplifier, a lithium niobate modulator and an erbium-doped fiber amplifier; the laser is connected with the light input end of the lithium niobate modulator; the arbitrary waveform generator, the microwave signal amplifier, the lithium niobate modulator and the erbium-doped fiber amplifier are connected in sequence, the microwave signal amplifier is also connected to the electric signal input end of the lithium niobate modulator;
the laser is used for generating light waves of lambda 14;
The arbitrary waveform generator is used for generating a continuous baseband signal through a raised cosine filter;
the microwave signal amplifier is used for amplifying the baseband signal;
The lithium niobate modulator is used for loading the amplified baseband signal onto the light wave to generate a continuous optical baseband signal and outputting a modulated communication optical signal;
The erbium-doped fiber amplifier is used for amplifying the communication optical signal.
4. The FSO transmit power adaptation system based on atmospheric turbulence channel reciprocity according to claim 3, wherein the automatic gain feedback adjustment unit comprises: an attenuator and an FPGA;
The attenuator is used for receiving the amplified communication optical signal and attenuating the communication optical signal to generate a transmitting optical signal;
the FPGA is used for controlling the attenuation of the attenuator.
5. The FSO transmit power adaptation system based on atmospheric turbulence channel reciprocity according to claim 4, wherein the detection unit comprises: dense wavelength division multiplexing system DWDM, high-speed detector, low-speed detector and digital storage oscilloscope; wherein, the wavelength output of the dense wavelength division multiplexing system lambda 2, the high-speed detector is sequentially connected with the digital storage oscilloscope; the wavelength output of the dense wavelength division multiplexing system lambda 4 is carried out, and the low-speed detector is sequentially connected with the FPGA;
the dense wavelength division multiplexing system is used for multiplexing the light waves with the wavelength lambda 24;
The high-speed detector is used for detecting high-speed communication optical signals and converting the high-speed communication optical signals into electric signals to be output;
The low-speed detector is used for detecting the fading characteristic of the turbulence signal and is obtained through processing by the FPGA;
the digital storage oscilloscope is used for storing the acquisition result.
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